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1 <br /> 1 Rock_Chute.xls Page 3 of 3 <br /> Rock Chute Design Calculations <br /> ' (Version WI-July-2010, Based on Design of Rock Chutes by Robinson, Rice, Kadavy, ASAE, 1998) <br /> Project: Morrison Quarry- Culvert A Outlet Chan County: Jefferson <br /> Designer: TPY Checked by: <br /> ' Date: 5/18/2020 Date: <br /> V. Calculate the rock chute parameters (w/o a factor of safety applied) <br /> 1 High Flow Low Flow <br /> qc= 1.74 cros/m ct= 0.36 cros/m (Equivalent unit discharge) <br /> ' D50(mm)= 473.93 > (18.66 in.) D50 205.20 mm (Median angular rock size) <br /> n= 0.061 n= 0.054 (Manning's roughness coefficient) <br /> z, = 1.19 ff, z, = 0.43 ft. (Normal depth in the chute) <br /> A,= 2.9 ft2 A, = 0.4 ft2 (Area associated with normal depth) <br /> ' Velocity= 20.63 fps Velocity= 11.43 fps (Velocity in chute slope) <br /> Zmean= 0.60 ft. zmean= 0.21 ft. (Mean depth) <br /> F, = 4.71 F, = 4.35 (Froude number) <br /> ' Lrock apron= 23.32 ft. ---- ---- (Length of rock outlet apron= 15*D50) <br /> VI. Calculate the height of hydraulic iump height(conjugate depth) <br /> ' High Flow Low Flow <br /> z2= 3.74 ft, z2= 1.27 ft. (Hydraulic jump height) <br /> Ohigh= 58.8 cfs Ohigh= 4.2 cfs (Capacity in channel) <br /> ' A2= 28.0 ft2 A2= 3.2 ft2 (Flow area in channel) <br /> VII. Calculate the energy lost through the iump(absorbed by the rock) <br /> ' High Flow Low Flow <br /> E1 = 7.80 ft. E, = 2.46 ff. (Total energy before the jump) <br /> E2= 3.81 ff. E2= 1.30 ft. (Total energy after the jump) <br /> ' RE= 51.15 % RE= 47.11 ova (Relative loss of energy) <br /> Calculate Quantities for Rock Chute <br /> 1 -------Rock Riprap Volume------- -------Bedding Volume------- <br /> Area Calculations Length(a-)-Rock CL Area Calculations <br /> h = 4.32 Inlet= 21.68 h= 8.32 Bedding Thickness <br /> ' x, = 8.94 Outlet= 28.71 x, = 0.00 t1,t2 = 0.00 in. <br /> L= 9.66 Slope= 31.65 L= 18.60 <br /> As= 38.64 2.5:1 Lip= 4.97 k= 0.00 Length 0 Bed CL <br /> ' x2= 8.00 Total= 87.01 ft, x2= 0.00 Total= 86.98 ft. <br /> Ab= 39.55 Rock Volume Ab= 0.00 Bedding Volume <br /> Ab+2*AS= 116.83 ft2 376.49 yd3 Ab+2*AS= 0.00 ft2 0.00 yd3 <br /> ' -------Geotexti/e Quantity------- Note: 1)The radius is not considered when calculating <br /> Width Length(W Bot. Rock quantities of riprap, bedding,or geotextile. <br /> 2*Slope= 37.21 Total = 86.98 ft. 2)The geotextile quantity does not include over- <br /> Bottom= 1.89 Geotextile Area overlapping(18-in. min.)or anchoring material <br /> Total= 39.10 ft, 377.84 yd2 (18-in. min. along sides,24-in. min.on ends). <br />